Learning-based optimal admission control in a single-server queuing system
A Cohen, V Subramanian, Y Zhang - Stochastic Systems, 2024 - pubsonline.informs.org
We consider a long-term average profit–maximizing admission control problem in an M/M/1
queuing system with unknown service and arrival rates. With a fixed reward collected upon …
queuing system with unknown service and arrival rates. With a fixed reward collected upon …
Existence of optimal stationary singular controls and mean field game equilibria
A Cohen, C Sun - arXiv preprint arXiv:2404.07945, 2024 - arxiv.org
In this paper, we examine the stationary relaxed singular control problem within a multi-
dimensional framework for a single agent, as well as its Mean Field Game (MFG) equivalent …
dimensional framework for a single agent, as well as its Mean Field Game (MFG) equivalent …
Optimal ergodic harvesting under ambiguity
A Cohen, A Hening, C Sun - SIAM Journal on Control and Optimization, 2022 - SIAM
We consider an ergodic harvesting problem with model ambiguity that arises from biology.
To account for the ambiguity, the problem is constructed as a stochastic game with two …
To account for the ambiguity, the problem is constructed as a stochastic game with two …
Optimal dividends under model uncertainty
P Chakraborty, A Cohen, VR Young - SIAM Journal on Financial Mathematics, 2023 - SIAM
We consider a diffusive model for optimally distributing dividends, while allowing for
Knightian model ambiguity concerning the drift of the surplus process. We show that the …
Knightian model ambiguity concerning the drift of the surplus process. We show that the …
Scheduling in the High-Uncertainty Heavy Traffic Regime
We propose a model uncertainty approach to heavy traffic asymptotics that allows for a high
level of uncertainty. That is, the uncertainty classes of underlying distributions accommodate …
level of uncertainty. That is, the uncertainty classes of underlying distributions accommodate …
On singular control problems, the time-stretching method, and the weak-M1 topology
A Cohen - SIAM Journal on Control and Optimization, 2021 - SIAM
We consider a general class of singular control problems with state constraints. Budhiraja
and Ross [Ann. Appl. Probab., 16 (2006), pp. 2235--2255] established the existence of …
and Ross [Ann. Appl. Probab., 16 (2006), pp. 2235--2255] established the existence of …
Learning-based optimal admission control in a single server queuing system
Y Zhang, A Cohen… - 2022 58th Annual Allerton …, 2022 - ieeexplore.ieee.org
We consider admission control for a first-in first-out single class single server queueing
model with Poisson arrivals and exponential service times. Specifically, there is a dispatcher …
model with Poisson arrivals and exponential service times. Specifically, there is a dispatcher …
Asymptotic analysis of a multiclass queueing control problem under heavy traffic with model uncertainty
A Cohen - Stochastic Systems, 2019 - pubsonline.informs.org
We study a multiclass M/M/1 queueing control problem with finite buffers under heavy traffic
in which the decision maker is uncertain about the rates of arrivals and service of the system …
in which the decision maker is uncertain about the rates of arrivals and service of the system …
Asymptotic optimality of the generalized cμ rule under model uncertainty
A Cohen, S Saha - Stochastic Processes and their Applications, 2021 - Elsevier
We consider a critically-loaded multiclass queueing control problem with model uncertainty.
The model consists of I types of customers and a single server. At any time instant, a …
The model consists of I types of customers and a single server. At any time instant, a …
Optimal dividend problem: Asymptotic analysis
We revisit the classical problem of optimal payment of dividends and determine the degree
to which the diffusion approximation serves as a valid approximation of the classical risk …
to which the diffusion approximation serves as a valid approximation of the classical risk …